Details Page for 0.3551

Complete Solution is Known:

MSV File: q-0.3551.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₁(0.3551):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,A,B,C,D,E,F,G | a²=1, b³¹=b²⁹, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, be=ab⁷, ce=b⁸, de=b¹⁰, e²=b¹², bf=ab⁹, cf=b¹⁰, df=b¹², ef=b¹⁴, f²=b¹⁶, b²g=b¹¹, cg=ab¹¹, dg=ab¹³, eg=ab¹⁵, fg=ab¹⁷, g²=b¹⁸, b³h=ab¹³, ch=ab²h, dh=b¹⁴, eh=b¹⁶, fh=b¹⁸, gh=ab¹⁹, h²=b²⁰, b⁴i=b¹⁵, ci=ab²i, di=ab¹⁵, ei=ab¹⁷, fi=ab¹⁹, gi=b²⁰, hi=ab²¹, i²=b²², b⁵j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁸, fj=b²⁰, gj=ab²¹, hj=b²², ij=ab²³, j²=b²⁴, b⁶k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=ab¹⁹, fk=ab²¹, gk=b²², hk=ab²³, ik=b²⁴, jk=ab²⁵, k²=b²⁶, b⁷l=ab²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b²², gl=ab²³, hl=b²⁴, il=ab²⁵, jl=b²⁶, kl=ab²⁷, l²=b²⁸, b⁸m=b²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab²³, gm=b²⁴, hm=ab²⁵, im=b²⁶, jm=ab²⁷, km=b²⁸, lm=ab²⁹, m²=b³⁰, b⁹n=ab²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁸n, gn=ab²⁵, hn=b²⁶, in=ab²⁷, jn=b²⁸, kn=ab²⁹, ln=b³⁰, mn=ab²⁹, n²=b³⁰, b¹⁰o=b²⁷, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁸o, go=b⁹o, ho=ab²⁷, io=b²⁸, jo=ab²⁹, ko=b³⁰, lo=ab²⁹, mo=b³⁰, no=ab²⁹, o²=b³⁰, b¹¹p=ab²⁹, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁸p, gp=b⁹p, hp=ab¹⁰p, ip=ab²⁹, jp=b³⁰, kp=ab²⁹, lp=b³⁰, mp=ab²⁹, np=b³⁰, op=ab²⁹, p²=b³⁰, b¹²q=b²⁹, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=ab⁸q, gq=b⁹q, hq=ab¹⁰q, iq=b¹¹q, jq=ab²⁹, kq=b³⁰, lq=ab²⁹, mq=b³⁰, nq=ab²⁹, oq=b³⁰, pq=ab²⁹, q²=b³⁰, b¹¹r=ab¹⁰q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=ab⁸r, gr=b⁹r, hr=ab¹⁰r, ir=ab¹⁰q, jr=b¹¹q, kr=ab²⁹, lr=b³⁰, mr=ab²⁹, nr=b³⁰, or=ab²⁹, pr=b³⁰, qr=ab²⁹, r²=b³⁰, b¹⁰s=ab⁹r, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=ab⁸s, gs=b⁹s, hs=b⁹r, is=ab¹⁰r, js=ab¹⁰q, ks=b¹¹q, ls=ab²⁹, ms=b³⁰, ns=ab²⁹, os=b³⁰, ps=ab²⁹, qs=b³⁰, rs=ab²⁹, s²=b³⁰, b⁹t=ab⁸s, ct=ab²t, dt=ab⁴t, et=ab⁶t, ft=ab⁸t, gt=ab⁸s, ht=b⁹s, it=b⁹r, jt=ab¹⁰r, kt=ab¹⁰q, lt=b¹¹q, mt=ab²⁹, nt=b³⁰, ot=ab²⁹, pt=b³⁰, qt=ab²⁹, rt=b³⁰, st=ab²⁹, t²=b³⁰, b⁸u=ab⁷t, cu=ab²u, du=ab⁴u, eu=ab⁶u, fu=b⁷t, gu=ab⁸t, hu=ab⁸s, iu=b⁹s, ju=b⁹r, ku=ab¹⁰r, lu=ab¹⁰q, mu=b¹¹q, nu=ab²⁹, ou=b³⁰, pu=ab²⁹, qu=b³⁰, ru=ab²⁹, su=b³⁰, tu=ab²⁹, u²=b³⁰, b⁷v=ab⁶u, cv=ab²v, dv=ab⁴v, ev=ab⁶v, fv=b⁷u, gv=b⁷t, hv=ab⁸t, iv=ab⁸s, jv=b⁹s, kv=b⁹r, lv=ab¹⁰r, mv=ab¹⁰q, nv=b¹¹q, ov=ab²⁹, pv=b³⁰, qv=ab²⁹, rv=b³⁰, sv=ab²⁹, tv=b³⁰, uv=ab²⁹, v²=b³⁰, b⁶w=ab⁵v, cw=ab²w, dw=ab⁴w, ew=b⁵v, fw=ab⁶u, gw=b⁷u, hw=b⁷t, iw=ab⁸t, jw=ab⁸s, kw=b⁹s, lw=b⁹r, mw=ab¹⁰r, nw=ab¹⁰q, ow=b¹¹q, pw=ab²⁹, qw=b³⁰, rw=ab²⁹, sw=b³⁰, tw=ab²⁹, uw=b³⁰, vw=ab²⁹, w²=b³⁰, b⁵x=ab⁴w, cx=ab²x, dx=ab⁴x, ex=b⁵w, fx=ab⁶v, gx=ab⁶u, hx=b⁷u, ix=b⁷t, jx=ab⁸t, kx=ab⁸s, lx=b⁹s, mx=b⁹r, nx=ab¹⁰r, ox=ab¹⁰q, px=b¹¹q, qx=ab²⁹, rx=b³⁰, sx=ab²⁹, tx=b³⁰, ux=ab²⁹, vx=b³⁰, wx=ab²⁹, x²=b³⁰, b⁴y=ab³x, cy=ab²y, dy=b³x, ey=ab⁴w, fy=b⁵v, gy=ab⁶v, hy=ab⁶u, iy=b⁷u, jy=b⁷t, ky=ab⁸t, ly=ab⁸s, my=b⁹s, ny=b⁹r, oy=ab¹⁰r, py=ab¹⁰q, qy=b¹¹q, ry=ab²⁹, sy=b³⁰, ty=ab²⁹, uy=b³⁰, vy=ab²⁹, wy=b³⁰, xy=ab²⁹, y²=b³⁰, b³z=ab²y, cz=ab²z, dz=b³y, ez=ab⁴x, fz=b⁵w, gz=b⁵v, hz=ab⁶v, iz=ab⁶u, jz=b⁷u, kz=b⁷t, lz=ab⁸t, mz=ab⁸s, nz=b⁹s, oz=b⁹r, pz=ab¹⁰r, qz=ab¹⁰q, rz=b¹¹q, sz=ab²⁹, tz=b³⁰, uz=ab²⁹, vz=b³⁰, wz=ab²⁹, xz=b³⁰, yz=ab²⁹, z²=b³⁰, b²A=abz, cA=bz, dA=ab²y, eA=b³x, fA=ab⁴w, gA=b⁵w, hA=b⁵v, iA=ab⁶v, jA=ab⁶u, kA=b⁷u, lA=b⁷t, mA=ab⁸t, nA=ab⁸s, oA=b⁹s, pA=b⁹r, qA=ab¹⁰r, rA=ab¹⁰q, sA=b¹¹q, tA=ab²⁹, uA=b³⁰, vA=ab²⁹, wA=b³⁰, xA=ab²⁹, yA=b³⁰, zA=ab²⁹, A²=b³⁰, bB=aA, cB=bA, dB=ab²z, eB=b³y, fB=ab⁴x, gB=ab⁴w, hB=b⁵w, iB=b⁵v, jB=ab⁶v, kB=ab⁶u, lB=b⁷u, mB=b⁷t, nB=ab⁸t, oB=ab⁸s, pB=b⁹s, qB=b⁹r, rB=ab¹⁰r, sB=ab¹⁰q, tB=b¹¹q, uB=ab²⁹, vB=b³⁰, wB=ab²⁹, xB=b³⁰, yB=ab²⁹, zB=b³⁰, AB=ab²⁹, B²=b³⁰, bC=aB, cC=aA, dC=bz, eC=ab²y, fC=b³x, gC=ab⁴x, hC=ab⁴w, iC=b⁵w, jC=b⁵v, kC=ab⁶v, lC=ab⁶u, mC=b⁷u, nC=b⁷t, oC=ab⁸t, pC=ab⁸s, qC=b⁹s, rC=b⁹r, sC=ab¹⁰r, tC=ab¹⁰q, uC=b¹¹q, vC=ab²⁹, wC=b³⁰, xC=ab²⁹, yC=b³⁰, zC=ab²⁹, AC=b³⁰, BC=ab²⁹, C²=b³⁰, bD=aC, cD=aB, dD=bA, eD=ab²z, fD=b³y, gD=b³x, hD=ab⁴x, iD=ab⁴w, jD=b⁵w, kD=b⁵v, lD=ab⁶v, mD=ab⁶u, nD=b⁷u, oD=b⁷t, pD=ab⁸t, qD=ab⁸s, rD=b⁹s, sD=b⁹r, tD=ab¹⁰r, uD=ab¹⁰q, vD=b¹¹q, wD=ab²⁹, xD=b³⁰, yD=ab²⁹, zD=b³⁰, AD=ab²⁹, BD=b³⁰, CD=ab²⁹, D²=b³⁰, bE=aD, cE=aC, dE=aA, eE=bz, fE=ab²y, gE=b³y, hE=b³x, iE=ab⁴x, jE=ab⁴w, kE=b⁵w, lE=b⁵v, mE=ab⁶v, nE=ab⁶u, oE=b⁷u, pE=b⁷t, qE=ab⁸t, rE=ab⁸s, sE=b⁹s, tE=b⁹r, uE=ab¹⁰r, vE=ab¹⁰q, wE=b¹¹q, xE=ab²⁹, yE=b³⁰, zE=ab²⁹, AE=b³⁰, BE=ab²⁹, CE=b³⁰, DE=ab²⁹, E²=b³⁰, bF=aE, cF=aD, dF=aB, eF=bA, fF=ab²z, gF=ab²y, hF=b³y, iF=b³x, jF=ab⁴x, kF=ab⁴w, lF=b⁵w, mF=b⁵v, nF=ab⁶v, oF=ab⁶u, pF=b⁷u, qF=b⁷t, rF=ab⁸t, sF=ab⁸s, tF=b⁹s, uF=b⁹r, vF=ab¹⁰r, wF=ab¹⁰q, xF=b¹¹q, yF=ab²⁹, zF=b³⁰, AF=ab²⁹, BF=b³⁰, CF=ab²⁹, DF=b³⁰, EF=ab²⁹, F²=b³⁰, b²G=F, cG=aF, dG=aD, eG=aB, fG=bA, gG=bz, hG=ab²z, iG=ab²y, jG=b³y, kG=b³x, lG=ab⁴x, mG=ab⁴w, nG=b⁵w, oG=b⁵v, pG=ab⁶v, qG=ab⁶u, rG=b⁷u, sG=b⁷t, tG=ab⁸t, uG=ab⁸s, vG=b⁹s, wG=b⁹r, xG=ab¹⁰r, yG=ab¹⁰q, zG=b¹¹q, AG=ab²⁹, BG=b³⁰, CG=ab²⁹, DG=b³⁰, EG=ab²⁹, FG=b³⁰, G²=b³⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, b²⁸, b³⁰, ag, bh, ai, ab²i, bj, b³j, ak, ab²k, ab⁴k, bl, b³l, b⁵l, am, ab²m, ab⁴m, ab⁶m, bn, b³n, b⁵n, b⁷n, ao, ab²o, ab⁴o, ab⁶o, ab⁸o, bp, b³p, b⁵p, b⁷p, b⁹p, aq, ab²q, ab⁴q, ab⁶q, ab⁸q, ab¹⁰q, br, b³r, b⁵r, b⁷r, b⁹r, as, ab²s, ab⁴s, ab⁶s, ab⁸s, bt, b³t, b⁵t, b⁷t, au, ab²u, ab⁴u, ab⁶u, bv, b³v, b⁵v, aw, ab²w, ab⁴w, bx, b³x, ay, ab²y, bz, aA, aC, aE, bG}

Phi = 1 a b a b a b c b³ d b⁵ e b⁷ f g h i j k l m n o p q r s t u v w x y z A B C D E F abG G

Monoid Structure